What is the Greatest Common Factor of 31523 and 31532?

Greatest common factor (GCF) of 31523 and 31532 is 1.

GCF(31523,31532) = 1

We will now calculate the prime factors of 31523 and 31532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31523 and 31532.

How to find the GCF of 31523 and 31532?

We will first find the prime factorization of 31523 and 31532. After we will calculate the factors of 31523 and 31532 and find the biggest common factor number .

Step-1: Prime Factorization of 31523

Prime factors of 31523 are 29, 1087. Prime factorization of 31523 in exponential form is:

31523 = 29¹ × 1087¹

Step-2: Prime Factorization of 31532

Prime factors of 31532 are 2, 7883. Prime factorization of 31532 in exponential form is:

31532 = 2² × 7883¹

Step-3: Factors of 31523

List of positive integer factors of 31523 that divides 31523 without a remainder.

1, 29, 1087

Step-4: Factors of 31532

List of positive integer factors of 31532 that divides 31523 without a remainder.

1, 2, 4, 7883, 15766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31523 and 31532. The biggest common factor number is the GCF number.
So the greatest common factor 31523 and 31532 is 1.

Also check out the Least Common Multiple of 31523 and 31532